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Summary of Significant Accounting Policies - Business Acquisition (Details) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jun. 30, 2023 USD ($) lot | Dec. 31, 2022 USD ($) lot | Sep. 30, 2023 USD ($) | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($)
Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  |  | $ 212.9 | $ 271.5 | $ 24.5
Scehdule of Business Information [Line Items] |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  |  | $ 212.9 | $ 271.5 | $ 24.5
Riggins Custom Homes |  |  |  |  |
Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  | $ 107.0 |  |  |
Scehdule of Business Information [Line Items] |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  | $ 107.0 |  |  |
Business Acquisition, Number of Homes Acquired | lot |  | 170 |  |  |
Business Acquisition, Number of Lots Acquired | lot |  | 3,000 |  |  |
Truland Homes |  |  |  |  |
Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired | $ 110.0 |  |  |  |
Scehdule of Business Information [Line Items] |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired | $ 110.0 |  |  |  |
Business Acquisition, Number of Homes Acquired | lot | 155 |  |  |  |
Business Acquisition, Number of Lots Acquired | lot | 620 |  |  |  |
Business Acquisition, Number of Controlled Lots Acquired through Land Purchase Contracts | lot | 660 |  |  |  |

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- Definition The cash outflow associated with the acquisition of a business, net of the cash acquired from the purchase. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 13 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482740/230-10-45-13 + Details
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